Write the following ratio in simplest form: 32 min:36 min
• 8:9
• 8:36
• 32:9
• 128:144
32:36 = 8:9
To simplify the given ratio, we need to find the greatest common divisor (GCD) of the two numbers, 32 and 36, and then divide both numbers by the GCD.
Step 1: Find the GCD of 32 and 36.
The factors of 32 are: 1, 2, 4, 8, 16, 32.
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.
The common factors of 32 and 36 are 1, 2, and 4.
Therefore, the GCD is 4.
Step 2: Divide both numbers by the GCD.
32 ÷ 4 = 8
36 ÷ 4 = 9
The simplified ratio is 8:9.
Therefore, the correct answer is:
• 8:9
To simplify the ratio 32 min:36 min, we need to find the greatest common divisor (GCD) of 32 and 36. The GCD of 32 and 36 is 4.
Dividing both terms of the ratio by 4, we get: (32/4) min : (36/4) min = 8 min:9 min.
Therefore, the ratio 32 min:36 min in simplest form is 8:9.